untitled
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<responseDate>2018-01-15T18:41:40Z</responseDate>
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<identifier>oai:HAL:hal-00642118v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:TDS-MACS</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>A midpoint method for generalized equations under mild differentiability condition</title>
<creator>Cabuzel, Catherine</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0167-8019</source>
<source>EISSN: 1572-9036</source>
<source>Acta Applicandae Mathematicae</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00642118</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00642118</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00642118</source>
<source>Acta Applicandae Mathematicae, Springer Verlag, 2011, 116 (3), pp.269-279</source>
<language>en</language>
<subject lang=en>set-valued mapping</subject>
<subject lang=en>generalized equations</subject>
<subject lang=en>Aubin conitnuity</subject>
<subject lang=en>pseudo-Lipschitz map</subject>
<subject lang=en>Hölder condition</subject>
<subject>49J53, 47H04, 65K10</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>The aim of this study is the approximation of a solution x* of a ganeralized equation 0 in f(x)+F(x) in Banach spaces, where f is a single-valued function whose second order Frechet derivative satisfies an Hölder condition and F stands for a set-valed map with closed graph. Using a fixed point theorem and the Aubin property of F, we show the existence and the superquadratic convergence of a sequence derived from a midpoint method.</description>
<date>2011-11-17</date>
</dc>
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